CN114200829B - A pseudo-closed-loop high-precision speed control method for supersonic large maneuvering targets - Google Patents

A pseudo-closed-loop high-precision speed control method for supersonic large maneuvering targets Download PDF

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CN114200829B
CN114200829B CN202111317847.9A CN202111317847A CN114200829B CN 114200829 B CN114200829 B CN 114200829B CN 202111317847 A CN202111317847 A CN 202111317847A CN 114200829 B CN114200829 B CN 114200829B
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凡永华
董敏周
李宏君
邱少华
冯晓强
郭晓雯
陈凯
樊朋飞
于云峰
许红羊
李光熙
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Northwestern Polytechnical University
Xian Aerospace Propulsion Institute
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Abstract

The invention provides a supersonic large maneuvering targetThe high-precision speed control method based on the pseudo-closed loop aims to provide a high-precision pseudo-closed loop speed control method in a cruising section by adopting a liquid rocket engine with discontinuous thrust adjustment as a large maneuvering target of power. The method comprises the steps of firstly predicting cruising resistance of a section through a mathematical model of a large maneuvering target; and then according to the predicted resistance D yc 3 thrust combination strategies are designed; because the engine thrust is established and the engine is declined and has response time, in order to ensure the high-precision control of the cruising speed, the threshold correction value of the engine on-off is designed. The flight test results demonstrate the effectiveness of this method.

Description

一种超音速大机动靶标基于伪闭环的高精度速度控制方法A pseudo-closed-loop high-precision velocity control method for supersonic large maneuvering targets

技术领域technical field

本发明涉及一种超音速大机动靶标的速度控制方法,特别涉及一种采用推力不可连续调节的液体火箭发动机为动力的超音速大机动靶标,在巡航过程中基于伪闭环的高精度速度控制方法。The present invention relates to a speed control method of a supersonic large maneuvering target, in particular to a high-precision speed control method based on a pseudo-closed loop during the cruising process of a supersonic large maneuvering target powered by a liquid rocket engine whose thrust cannot be continuously adjusted .

背景技术Background technique

云雀超音速大机动靶标是西北工业大学与西安航天动力研究所联合研制的一款高性能靶标,旨在模拟F-22、F-35等国外的四、五代战斗机的运动特性,为我国的导弹武器系统研制、定型、鉴定以及飞行员的战术战法训练提供高性能的空中目标。该靶标能够在8~14km的大范围空域内,实现0.8~1.6Ma宽速域包线内的巡航飞行,同时能够在全包线范围内实现不小于6g的稳定大过载机动。为了达到模拟第四代战斗机超音速巡航及机动飞行的能力,在靶标研制阶段航空发动机无法满足设计要求,这使得大机动靶标在动力系统选型方面仅能够采用液体火箭发动机作为动力。The Skylark supersonic large maneuvering target is a high-performance target jointly developed by Northwestern Polytechnical University and Xi'an Aerospace Power Research Institute. Weapon system development, finalization, qualification, and tactical training of pilots provide high-performance air targets. The target can achieve cruise flight within a wide speed envelope of 0.8 to 1.6 Ma in a large airspace of 8 to 14 km, and at the same time can achieve a stable and large overload maneuver of not less than 6g within the full envelope. In order to achieve the ability to simulate the supersonic cruise and maneuvering flight of the fourth-generation fighter, the aero-engine cannot meet the design requirements during the target development stage, which makes the large maneuvering target only use liquid rocket engine as power in the selection of power system.

然而,液体火箭发动机的特点是在飞行过程中,推力大小不能够实现连续调节,云雀大机动靶标共有两台液体火箭发动机,每台液体火箭发动机有3个档位,分别为600/1000/1200N以及2000/2500/2800N,两台发动机的档位需在发射前设置好,发射后无法更改,两台发动机推力档位的组合可覆盖全飞行包线内任意剖面。由于四代机在巡航飞行时速度稳定可控,因此为了逼真的模拟四代机的飞行性能,对大机动靶标飞行速度的控制精度有很高的要求,需要控制在高精度范围内。因此如何保证大机动靶标巡航时在推力不可连续调节的工况下实现对速度的高精度控制是大机动靶标研制的一项关键技术。However, the characteristic of the liquid rocket engine is that the thrust cannot be continuously adjusted during the flight. The Skylark large maneuvering target has two liquid rocket engines, and each liquid rocket engine has 3 gears, respectively 600/1000/1200N As well as 2000/2500/2800N, the gears of the two engines need to be set before launch and cannot be changed after launch. The combination of the thrust gears of the two engines can cover any profile within the full flight envelope. Since the speed of the fourth-generation aircraft is stable and controllable during cruising flight, in order to realistically simulate the flight performance of the fourth-generation aircraft, there is a high requirement for the control accuracy of the flight speed of large maneuvering targets, which needs to be controlled within a high-precision range. Therefore, how to ensure the high-precision control of the speed under the condition that the thrust cannot be continuously adjusted when the large maneuvering target is cruising is a key technology for the development of the large maneuvering target.

发明内容Contents of the invention

本发明针对推力不可连续调节的靶标的速度控制问题,提出了一种基于巡航阻力预测的高精度伪闭环速度控制方法,在任务开始之前首先根据本次任务对巡航速度的精度要求,设置巡航速度控制上下门限MaPoff、MaPon,同时基于预测的巡航剖面的阻力确定两台发动机的档位组合P1、P2,以及巡航发动机组合策略,并在地面将所选的档位设置好。发射后,当靶标飞行至任务剖面且满足巡航发动机开机条件后,按照巡航发动机组合策略打开相应发动机,当速度超过巡航速度上限MaPoff时,关闭发动机,之后速度减小,当速度低于巡航速度下限MaPon时,打开发动机。由于发动机的推力建立时间不同,为提高控制精度,对发动机的实际开关机门限值进行修正Ma′Poff、Ma′PonAiming at the speed control problem of the target whose thrust cannot be continuously adjusted, the present invention proposes a high-precision pseudo-closed-loop speed control method based on cruise resistance prediction. Before the mission starts, the cruise speed is first set according to the accuracy requirements of the mission for the cruise speed. Control the upper and lower thresholds Ma Poff and Ma Pon , and at the same time determine the gear combinations P1 and P2 of the two engines and the cruise engine combination strategy based on the predicted resistance of the cruise profile, and set the selected gear on the ground. After launch, when the target flies to the mission profile and meets the cruise engine start-up conditions, the corresponding engine is turned on according to the cruise engine combination strategy. When the speed exceeds the cruise speed upper limit Ma Poff , the engine is turned off, and then the speed decreases. When the speed is lower than the cruise speed When the Ma Pon is lowered, turn on the engine. Since the engine thrust build-up time is different, in order to improve the control accuracy, the actual switch threshold value of the engine is corrected Ma′ Poff , Ma′ Pon .

本发明的技术构思为:基于任务的速度控制精度要求为大机动靶标设置巡航段的速度控制门限,为靶标巡航段设计发动机组合策略,考虑发动机推力建立时间,对速度控制门限进行修正,通过控制相应发动机按照门限开机或关机,实现靶标巡航段高精度速度控制。The technical idea of the present invention is: based on the task-based speed control accuracy requirements, set the speed control threshold for the cruise segment of the large maneuvering target, design the engine combination strategy for the target cruise segment, consider the engine thrust establishment time, and modify the speed control threshold. The corresponding engine is turned on or off according to the threshold to realize high-precision speed control in the target cruising segment.

本发明为一种超音速大机动靶标基于伪闭环的高精度速度控制方法,包括以下步骤:The present invention is a pseudo-closed-loop high-precision speed control method for a supersonic large maneuvering target, comprising the following steps:

步骤1:建立靶标模型,预测剖面阻力Step 1: Build a target model and predict profile resistance

选定任务剖面Hc,Mac之后,首先计算出该剖面的平衡攻角αbAfter selecting the mission profile H c , Mac c , first calculate the equilibrium angle of attack α b of the profile,

Figure BDA0003344204050000021
Figure BDA0003344204050000021

上式中,q为靶标动压,

Figure BDA0003344204050000022
ρ(Hc)为大气密度,是高度的函数,Hc为靶标巡航高度;VW为靶标的对风速度,VW=MaWVv(Hc),MaW为靶标的对风马赫数,
Figure BDA0003344204050000031
Mac为靶标巡航时相对地的马赫数,Mawind为靶标巡航高度Hc下的风场马赫数,Vv(Hc)为靶标巡航剖面的音速。g=9.8,s为靶标的参考面积,/>
Figure BDA0003344204050000032
为升力对攻角的偏导,α为靶标的攻角。In the above formula, q is the target dynamic pressure,
Figure BDA0003344204050000022
ρ(H c ) is the atmospheric density, which is a function of height, H c is the cruise height of the target; V W is the wind speed of the target, V W = Ma W V v (H c ), Ma W is the wind Mach of the target number,
Figure BDA0003344204050000031
Ma c is the Mach number relative to the ground when the target is cruising, Ma wind is the Mach number of the wind field at the target cruising altitude H c , and V v (H c ) is the sound velocity of the target cruising profile. g=9.8, s is the reference area of the target, />
Figure BDA0003344204050000032
is the deflector of the lift to the angle of attack, and α is the angle of attack of the target.

取β=0,预测任务剖面巡航时的阻力Dyc的表达式为:Taking β=0, the expression of the resistance D yc during the cruise of the predicted mission profile is:

Dyc=qsCD(MaWb,β) (2)D yc =qsC D (Ma Wb ,β) (2)

式中,q为靶标动压,s为靶标的参考面积,CD为靶标的气动阻力系数,MaW为靶标的对风马赫数,αb为靶标的平衡攻角,β为靶标的侧滑角,此处令β=0。In the formula, q is the dynamic pressure of the target, s is the reference area of the target, CD is the aerodynamic drag coefficient of the target, Ma W is the Mach number of the target against the wind, α b is the equilibrium angle of attack of the target, and β is the sideslip of the target angle, where β=0.

步骤2:设计推力组合策略Step 2: Design thrust combination strategy

大机动靶标CD包含2台液体火箭发动机,定义小推力发动机为P1,大推力发动机为P2,P1包含3档推力,分别为600/1000/1200N,P2包含3档推力,分别为2000/2500/2800N。设计大机动靶标仅做巡航任务时的推力组合策略为以下3种:The large maneuvering target C D includes 2 liquid rocket engines, define the small thrust engine as P1, and the large thrust engine as P2, P1 includes 3 levels of thrust, respectively 600/1000/1200N, P2 includes 3 levels of thrust, respectively 2000/2500N /2800N. The thrust combination strategies for designing large maneuvering targets only for cruising tasks are as follows:

(1)策略1:巡航开1台P1(1) Strategy 1: Cruise with 1 P1

若预测巡航阻力Dyc<1200N,则巡航仅开1台P1发动机,所选P1发动机的推力档位满足T1c>DycIf the predicted cruising resistance D yc <1200N, then only one P1 engine is used for cruising, and the thrust gear of the selected P1 engine satisfies T 1c >D yc ;

(3)策略2:巡航开P1和P2,P1为主巡航发动机(3) Strategy 2: Cruise with P1 and P2, P1 is the main cruise engine

若预测巡航阻力1200N≤Dyc<2000N,则巡航需同时打开P1和P2,P1为主巡航发动机,巡航时持续开机,选择档位T1c=1200N,P2选择档位T2c=2800N;If the predicted cruising resistance is 1200N≤D yc <2000N, P1 and P2 need to be turned on at the same time for cruising, P1 is the main cruising engine, and it will be turned on continuously during cruising, select the gear position T 1c = 1200N, and select the gear position T 2c = 2800N for P2;

(3)策略3:巡航开P1和P2,P2为主巡航发动机(3) Strategy 3: Cruise with P1 and P2, P2 is the main cruise engine

若预测巡航阻力2000N≤Dyc<4000N,则巡航需同时打开P1和P2,P2为主巡航发动机,选择满足T1c+T2c>Dyc的最小档位T1c,T2cIf the predicted cruising resistance is 2000N≤D yc <4000N, P1 and P2 need to be turned on at the same time for cruising, P2 is the main cruising engine, and the minimum gear T 1c , T 2c that satisfies T 1c +T 2c >D yc is selected.

步骤3:设计速度伪闭环控制策略Step 3: Design speed pseudo-closed-loop control strategy

首先,根据当前任务剖面对于速度控制精度σMa的要求,设置巡航速度控制上下门限MaPoff、MaPon,其中MaPoff=MacMa,MaPon=MacMaFirst, according to the requirements of the current mission profile for speed control accuracy σ Ma , set the upper and lower thresholds Ma Poff and Ma Pon of cruise speed control, where Ma Poff = MacMa , Ma Pon = Mac cMa .

由于大机动靶标的发动机P1及P2的推力大小是不可连续调节的,因此根据步骤2的推力组合策略设计靶标的速度伪闭环控制策略为:Since the thrust of the engines P1 and P2 of the large maneuvering target cannot be continuously adjusted, the pseudo-closed-loop control strategy of the speed of the target is designed according to the thrust combination strategy in step 2 as follows:

(1)策略1:推力组合策略1(1) Strategy 1: Thrust Combination Strategy 1

靶标进入剖面后满足发动机开机条件时,打开P1发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P1发动机;P1发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P1发动机;依次类推直至巡航任务结束。When the target enters the profile and meets the engine start-up conditions, turn on the P1 engine and judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P1 engine; after the P1 engine is turned off, the target speed gradually decreases. , turn on the P1 engine; and so on until the end of the cruise mission.

(2)策略2:推力组合策略2(2) Strategy 2: Thrust Combination Strategy 2

靶标进入剖面后满足发动机开机条件时,打开P1、P2发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P2发动机,P1发动机仍保持开机状态;P2发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P2发动机;依次类推直至巡航任务结束。When the target enters the profile and meets the engine start-up conditions, turn on the P1 and P2 engines to judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P2 engine, and the P1 engine remains on; Small, when it is less than the lower threshold Ma Pon , turn on the P2 engine; and so on until the end of the cruise task.

(3)策略3:推力组合策略3(3) Strategy 3: Thrust Combination Strategy 3

靶标进入剖面后满足发动机开机条件时,打开P1、P2发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P1发动机,P2发动机仍保持开机状态;P1发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P1发动机;依次类推直至巡航任务结束。When the target enters the profile and meets the engine start-up conditions, turn on the P1 and P2 engines to judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P1 engine, and the P2 engine remains on; Small, when it is less than the lower threshold Ma Pon , turn on the P1 engine; and so on until the end of the cruise task.

步骤4:建立推力开/关机模型,修正速度伪闭环控制策略门限Step 4: Establish the thrust on/off model, and correct the speed pseudo-closed-loop control strategy threshold

(1)推力开机模型(1) Thrust boot model

通过动力系统的热试车试验,统计得到靶标2台推力发动机共计6个推力档位的推力开机模型为:Through the thermal test of the power system, the statistics show that the thrust start-up model of the target 2 thrust engines with a total of 6 thrust gears is:

Figure BDA0003344204050000051
Figure BDA0003344204050000051

上式中,TCij为理论推力,τFij为电磁阀的响应时间,表示从接到推力开机的指令到电磁阀打开的时间,τOij为各推力对应的建立时间,这里i表示发动机序号,i=1,2,j表示推力档位序号,j=1,2,3,如T1c1为第1台发动机的第1个推力档位即TC11=600N。In the above formula, T Cij is the theoretical thrust, τ Fij is the response time of the solenoid valve, which means the time from receiving the command to start the thrust to the opening of the solenoid valve, τ Oij is the establishment time corresponding to each thrust, where i represents the serial number of the engine, i=1,2, j represents the serial number of the thrust gear, j=1,2,3, for example, T 1c1 is the first thrust gear of the first engine, ie T C11 =600N.

由上式可以看出,在发动机开机后的τFij时间内,电磁阀从关闭到打开,该段时间内推力大小为0;τFijOij时间内,发动机推力从0逐渐增大至理论推力,在此区间内靶标的速度变化趋势是先减小,t时刻当靶标Tij(t)等于当前时刻的阻力Db时,靶标的速度开始逐渐增大。因此,若发动机在下门限MaPon时开机,在推力建立过程中靶标的巡航速度将小于MaPon。综上所述,为了提高巡航速度的控制精度,对开机门限值进行如下修正:It can be seen from the above formula that within the time τ Fij after the engine is turned on, the solenoid valve is closed to open, and the thrust is 0 during this period; within the time τ FijOij , the engine thrust gradually increases from 0 to the theoretical Thrust, the speed of the target in this interval tends to decrease first, and at time t when the target T ij (t) is equal to the resistance D b at the current moment, the speed of the target begins to increase gradually. Therefore, if the engine is turned on at the lower threshold Ma Pon , the cruise speed of the target will be less than Ma Pon during the thrust building process. To sum up, in order to improve the control accuracy of cruising speed, the power-on threshold is modified as follows:

Ma′Pon=MaPonMon (4)Ma' Pon =Ma PonMon (4)

上式中δMon为速度控制上限的修正量,计算方法如下:In the above formula, δ Mon is the correction value of the upper limit of speed control, and the calculation method is as follows:

Figure BDA0003344204050000052
Figure BDA0003344204050000052

上式中,tm时刻的推力Tij(tm)=Dyc,τFij<tm<τFijOijIn the above formula, the thrust at time t m T ij (t m )=D yc , τ Fij <t mFijOij .

(2)推力关机模型(2) Thrust shutdown model

通过动力系统的热试车试验,统计得到靶标2台推力发动机共计6个推力档位的推力关机模型为:Through the thermal test of the power system, the statistics show that the thrust shutdown model of the target 2 thrust engines with a total of 6 thrust gears is:

Figure BDA0003344204050000061
Figure BDA0003344204050000061

上式中,TCij为理论推力,τFij为电磁阀的关闭响应时间,与电磁阀打开响应时间一致,τCij为各推力从100%下降至0时间,这里i表示发动机序号,j表示推力档位序号,如TCij为第1台发动机的第1个推力档位即T1c1=600N。In the above formula, T Cij is the theoretical thrust, τ Fij is the closing response time of the solenoid valve, which is consistent with the opening response time of the solenoid valve, τ Cij is the time for each thrust to drop from 100% to 0, where i represents the engine serial number, and j represents the thrust Gear number, for example, T Cij is the first thrust gear of the first engine, that is, T 1c1 =600N.

由上式可以看出,在发动机开机后的τFij时间内,电磁阀从打开到关闭,该段时间内推力大小为理论推力Ticj;τFijCij时间内,发动机推力从理论推力逐渐减小至0,在此区间内靶标的速度变化趋势是先增大,t时刻当靶标TGij(t)等于当前时刻的阻力Db时,靶标的速度开始逐渐减小。因此,若发动机在上门限MaPoff时关机,在推力关闭过程中靶标的巡航速度将大于MaPoff。综上所述,为了提高巡航速度的控制精度,对关机门限值进行如下修正:It can be seen from the above formula that within the time τ Fij after the engine is turned on, the solenoid valve is opened to close, and the thrust during this period is the theoretical thrust T icj ; within the time τ FijCij , the engine thrust gradually changes from the theoretical thrust Decrease to 0, in this range, the speed of the target increases first, and at time t when the target T Gij (t) is equal to the resistance D b at the current moment, the speed of the target begins to decrease gradually. Therefore, if the engine is turned off at the upper threshold Ma Poff , the cruise speed of the target will be greater than Ma Poff during the thrust off process. To sum up, in order to improve the control accuracy of cruising speed, the shutdown threshold value is modified as follows:

Ma′Poff=MaPoffMoff (7)Ma′ Poff = Ma PoffMoff (7)

上式中δMoff为速度控制下限的修正量,计算方法如下:In the above formula, δ Moff is the correction value of the lower limit of speed control, and the calculation method is as follows:

Figure BDA0003344204050000062
Figure BDA0003344204050000062

上式中,tn时刻的推力TGij(tn)=Dyc,τFij<tn<τFijCijIn the above formula, the thrust T Gij (t n ) at time t n = D yc , τ Fij <t nFijCij .

本发明的有益效果为:采用推力不可连续调节的液体火箭发动机为动力的大机动靶标,在巡航过程中基于伪闭环的高精度速度控制方法,能够实现靶标在巡航飞行的同时满足速度高精度控制的指标要求。本发明工作方式简洁可靠。The beneficial effects of the present invention are as follows: a large maneuvering target powered by a liquid rocket engine whose thrust cannot be continuously adjusted, and based on a pseudo-closed-loop high-precision speed control method during the cruising process, can realize the high-precision speed control of the target while cruising and flying indicator requirements. The working mode of the present invention is simple and reliable.

附图说明Description of drawings

图1是本发明的大机动靶标开环速度控制结构图。Fig. 1 is a structural diagram of the open-loop speed control of a large maneuvering target in the present invention.

图2是本发明的大机动靶标伪闭环速度控制结构图。Fig. 2 is a structural diagram of the pseudo closed-loop speed control of a large maneuvering target in the present invention.

图3是本发明的大机动靶标飞行试验巡航段两台发动机指令曲线。Fig. 3 is two engine command curves of the large maneuvering target flight test cruising section of the present invention.

图4是本发明的大机动靶标飞行试验P2发动机指令及推力室室压曲线。Fig. 4 is the P2 engine command and the thrust chamber chamber pressure curve of the large maneuvering target flight test of the present invention.

图5是本发明的大机动靶标的飞行试验的马赫数曲线。Fig. 5 is the Mach number curve of the flight test of the large maneuvering target of the present invention.

具体实施方式Detailed ways

为使本发明的目的、技术方案和优点更加清楚明白,参照附图1—4对本发明做进一步说明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described with reference to accompanying drawings 1-4.

所发明大机动靶标巡航任务伪闭环速度控制方法包含以下步骤:The invented large maneuvering target cruise task pseudo closed-loop speed control method includes the following steps:

步骤1:建立靶标模型,预测剖面阻力Step 1: Build a target model and predict profile resistance

选定任务剖面Hc,Mac之后,首先计算出该剖面的平衡攻角αbAfter selecting the mission profile H c , Mac c , first calculate the equilibrium angle of attack α b of the profile,

Figure BDA0003344204050000071
Figure BDA0003344204050000071

上式中,Hc为靶标巡航高度,Mac为靶标巡航速度,指相对地的马赫数,m为靶标的质量,g=9.8,q为靶标动压,

Figure BDA0003344204050000072
ρ为大气密度,VW为靶标的对风速度,s为靶标的参考面积,/>
Figure BDA0003344204050000073
为升力对攻角的偏导。In the above formula, H c is the target cruising altitude, Mac is the target cruising speed, refers to the relative Mach number, m is the mass of the target, g=9.8, q is the target dynamic pressure,
Figure BDA0003344204050000072
ρ is the atmospheric density, V W is the wind speed of the target, s is the reference area of the target, />
Figure BDA0003344204050000073
is the deflector of the lift force with respect to the angle of attack.

取β=0,预测任务剖面巡航时的阻力:Take β=0 to predict the resistance during mission profile cruise:

Dyc=qsCD(MaWb,β) (10)D yc =qsC D (Ma Wb ,β) (10)

步骤2:设计推力组合策略Step 2: Design thrust combination strategy

大机动靶标的包含2台液体火箭发动机,定义小推力发动机为P1,大推力发动机为P2,P1包含3档推力,分别为600/1000/1200N,P2包含3档推力,分别为2000/2500/2800N。设计大机动靶标仅做巡航任务时的推力组合策略为以下3种:The large maneuvering target includes 2 liquid rocket engines, define the small thrust engine as P1, and the large thrust engine as P2, P1 includes 3 gears of thrust, respectively 600/1000/1200N, P2 includes 3 gears of thrust, respectively 2000/2500/ 2800N. The thrust combination strategies for designing large maneuvering targets only for cruising tasks are as follows:

(1)策略1:巡航开1台P1(1) Strategy 1: Cruise with 1 P1

若预测巡航阻力Dyc<1200N,则巡航仅开1台P1发动机,所选P1发动机的推力档位满足T1c>DycIf the predicted cruising resistance D yc <1200N, then only one P1 engine is used for cruising, and the thrust gear of the selected P1 engine satisfies T 1c >D yc ;

(3)策略2:巡航开P1和P2,P1为主巡航发动机(3) Strategy 2: Cruise with P1 and P2, P1 is the main cruise engine

若预测巡航阻力1200N≤Dyc<2000N,则巡航需同时打开P1和P2,P1为主巡航发动机,巡航时持续开机,选择档位T1c=1200N,P2选择档位T2c=2800N;If the predicted cruising resistance is 1200N≤D yc <2000N, P1 and P2 need to be turned on at the same time for cruising, P1 is the main cruising engine, and it will be turned on continuously during cruising, select the gear position T 1c = 1200N, and select the gear position T 2c = 2800N for P2;

(3)策略3:巡航开P1和P2,P2为主巡航发动机(3) Strategy 3: Cruise with P1 and P2, P2 is the main cruise engine

若预测巡航阻力2000N≤Dyc<4000N,则巡航需同时打开P1和P2,P2为主巡航发动机,选择满足T1c+T2c>Dyc的最小档位T1c,T2cIf the predicted cruising resistance is 2000N≤D yc <4000N, P1 and P2 need to be turned on at the same time for cruising, P2 is the main cruising engine, and the minimum gear T 1c , T 2c that satisfies T 1c +T 2c >D yc is selected.

步骤3:设计速度伪闭环控制策略Step 3: Design speed pseudo-closed-loop control strategy

首先,根据当前任务剖面对于速度控制精度σMa的要求,设置巡航速度控制上下门限MaPoff、MaPon,其中MaPoff=MacMa,MaPon=MacMaFirst, according to the requirements of the current mission profile for speed control accuracy σ Ma , set the upper and lower thresholds Ma Poff and Ma Pon of cruise speed control, where Ma Poff = MacMa , Ma Pon = Mac cMa .

由于大机动靶标的发动机P1及P2的推力大小是不可连续调节的,因此根据步骤2的推力组合策略设计靶标的速度伪闭环控制策略为:Since the thrust of the engines P1 and P2 of the large maneuvering target cannot be continuously adjusted, the pseudo-closed-loop control strategy of the speed of the target is designed according to the thrust combination strategy in step 2 as follows:

(1)策略1:推力组合策略1(1) Strategy 1: Thrust Combination Strategy 1

靶标进入剖面后满足发动机开机条件时,打开P1发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P1发动机;P1发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P1发动机;依次类推直至巡航任务结束。When the target enters the profile and meets the engine start-up conditions, turn on the P1 engine and judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P1 engine; after the P1 engine is turned off, the target speed gradually decreases. , turn on the P1 engine; and so on until the end of the cruise mission.

(2)策略2:推力组合策略2(2) Strategy 2: Thrust Combination Strategy 2

靶标进入剖面后满足发动机开机条件时,依次打开P1、P2发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P2发动机,P1发动机仍保持开机状态;P2发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P2发动机;依次类推直至巡航任务结束。When the target meets the engine start-up conditions after entering the profile, turn on the P1 and P2 engines in turn to judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P2 engine, and the P1 engine remains on; Decrease, when it is less than the lower threshold Ma Pon , turn on the P2 engine; and so on until the end of the cruise task.

(3)策略3:推力组合策略3(3) Strategy 3: Thrust Combination Strategy 3

靶标进入剖面后满足发动机开机条件时,依次打开P1、P2发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P1发动机,P2发动机仍保持开机状态;P1发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P1发动机;依次类推直至巡航任务结束。When the target enters the profile and meets the engine start-up conditions, turn on the P1 and P2 engines in turn to judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P1 engine, and the P2 engine remains on; Decrease, when it is less than the lower threshold Ma Pon , turn on the P1 engine; and so on until the end of the cruise task.

步骤4:建立推力开/关机模型,修正速度伪闭环控制策略门限Step 4: Establish the thrust on/off model, and correct the speed pseudo-closed-loop control strategy threshold

(1)推力开机模型(1) Thrust boot model

通过动力系统的热试车试验,统计得到靶标2台推力发动机共计6个推力档位的推力开机模型为:Through the thermal test of the power system, the statistics show that the thrust start-up model of the target 2 thrust engines with a total of 6 thrust gears is:

Figure BDA0003344204050000091
Figure BDA0003344204050000091

上式中,TCij为理论推力,τFij为电磁阀的响应时间,表示从接到推力开机的指令到电磁阀打开的时间,τOij为各推力对应的建立时间,这里i表示发动机序号,i=1,2,j表示推力档位序号,j=1,2,3,如T1c1为第1台发动机的第1个推力档位即TC11=600N。In the above formula, T Cij is the theoretical thrust, τ Fij is the response time of the solenoid valve, which means the time from receiving the command to start the thrust to the opening of the solenoid valve, and τ Oij is the establishment time corresponding to each thrust, where i represents the serial number of the engine, i=1, 2, j represents the serial number of the thrust gear, j=1, 2, 3, for example, T 1c1 is the first thrust gear of the first engine, ie T C11 =600N.

由上式可以看出,在发动机开机后的τFij时间内,电磁阀从关闭到打开,该段时间内推力大小为0;τFijOij时间内,发动机推力从0逐渐增大至理论推力,在此区间内靶标的速度变化趋势是先减小,t时刻当靶标Tij(t)等于当前时刻的阻力Db时,靶标的速度开始逐渐增大。因此,若发动机在下门限MaPon时开机,在推力建立过程中靶标的巡航速度将小于MaPon。综上所述,为了提高巡航速度的控制精度,对开机门限值进行如下修正:It can be seen from the above formula that within the time τ Fij after the engine is turned on, the solenoid valve is closed to open, and the thrust is 0 during this period; within the time τ FijOij , the engine thrust gradually increases from 0 to the theoretical Thrust, in this range, the speed of the target decreases first, and at time t when the target T ij (t) is equal to the resistance D b at the current moment, the speed of the target begins to increase gradually. Therefore, if the engine is turned on at the lower threshold Ma Pon , the cruise speed of the target will be less than Ma Pon during the thrust building process. To sum up, in order to improve the control accuracy of cruising speed, the power-on threshold is modified as follows:

Ma′Pon=MaPonMon (12)Ma′ Pon =Ma PonMon (12)

上式中δMon为速度控制上限的修正量,计算方法如下:In the above formula, δ Mon is the correction value of the upper limit of speed control, and the calculation method is as follows:

Figure BDA0003344204050000101
Figure BDA0003344204050000101

上式中,tm时刻的推力Tij(tm)=Dyc,τFij<tm<τFijOijIn the above formula, the thrust at time t m T ij (t m )=D yc , τ Fij <t mFijOij .

(2)推力关机模型(2) Thrust shutdown model

通过动力系统的热试车试验,统计得到靶标2台推力发动机共计6个推力档位的推力关机模型为:Through the thermal test of the power system, the statistics show that the thrust shutdown model of the target 2 thrust engines with a total of 6 thrust gears is:

Figure BDA0003344204050000102
Figure BDA0003344204050000102

上式中,TCij为理论推力,τFij为电磁阀的关闭响应时间,与电磁阀打开响应时间一致,τCij为各推力从100%下降至0时间,这里i表示发动机序号,j表示推力档位序号,如TCij为第1台发动机的第1个推力档位即T1c1=600N。In the above formula, T Cij is the theoretical thrust, τ Fij is the closing response time of the solenoid valve, which is consistent with the opening response time of the solenoid valve, τ Cij is the time for each thrust to drop from 100% to 0, where i represents the engine serial number, and j represents the thrust Gear number, for example, T Cij is the first thrust gear of the first engine, that is, T 1c1 =600N.

由上式可以看出,在发动机开机后的τFij时间内,电磁阀从打开到关闭,该段时间内推力大小为理论推力Ticj;τFijCij时间内,发动机推力从理论推力逐渐减小至0,在此区间内靶标的速度变化趋势是先增大,t时刻当靶标TGij(t)等于当前时刻的阻力Db时,靶标的速度开始逐渐减小。因此,若发动机在上门限MaPoff时关机,在推力关闭过程中靶标的巡航速度将大于MaPoff。综上所述,为了提高巡航速度的控制精度,对关机门限值进行如下修正:It can be seen from the above formula that within the time τ Fij after the engine is turned on, the solenoid valve is opened to close, and the thrust during this period is the theoretical thrust T icj ; within the time τ FijCij , the engine thrust gradually changes from the theoretical thrust Decrease to 0, in this range, the speed of the target increases first, and at time t when the target T Gij (t) is equal to the resistance D b at the current moment, the speed of the target begins to decrease gradually. Therefore, if the engine is turned off at the upper threshold Ma Poff , the cruise speed of the target will be greater than Ma Poff during the thrust off process. To sum up, in order to improve the control accuracy of cruising speed, the shutdown threshold value is modified as follows:

Ma′Poff=MaPoffMoff (15)Ma′ Poff = Ma PoffMoff (15)

上式中δMoff为速度控制下限的修正量,计算方法如下:In the above formula, δ Moff is the correction value of the lower limit of speed control, and the calculation method is as follows:

Figure BDA0003344204050000111
Figure BDA0003344204050000111

上式中,tn时刻的推力TGij(tn)=Dyc,τFij<tn<τFijCijIn the above formula, the thrust T Gij (t n ) at time t n = D yc , τ Fij <t nFijCij .

该方法经过飞行试验的验证。对于实施例,本发明所设计方法的参数选取为:Hc=9000,Mac=1.2,σMa=0.05,建模得到靶标的预测阻力Dyc=2200N;因此选择策略(2),档位选择1200N+2800N的推力组合,因此相关参数选取为:τF23=0.04s,τO23=120ms,τC23=100ms,TC23=2800N,由此计算出Ma′Pon=1.153,Ma′Poff=1.248。The method is verified by flight test. For the embodiment, the parameters of the method designed in the present invention are selected as follows: H c =9000, Mac c =1.2, σ Ma =0.05, and the predicted resistance D yc of the target obtained through modeling is D yc =2200N; therefore, strategy (2) is selected, the gear The thrust combination of 1200N+2800N is selected, so the relevant parameters are selected as: τ F23 = 0.04s, τ O23 = 120ms, τ C23 = 100ms, T C23 = 2800N, from which Ma' Pon = 1.153, Ma' Poff = 1.248 .

大机动靶标两台发动机指令曲线如图3所示,P2发动机的指令及推力室室压曲线如图4所示,马赫数曲线如图5所示。从图3中可以看出,在28.14s飞行器满足发动机开机条件,P1发动机打开,之后当速度下降至下限时P2发动机开机,之后速度增加至上限时P2发动机关机,图4中可以看出飞行试验中P2发动机的电磁阀响应时间为40ms,室压建立时间为110ms,室压的下降时间为80ms,与预示一致性较好,图5可以看出马赫数的变化范围在1.1503~1.2498Ma,与期望值偏差不超过0.0003Ma,精度较高,由结果可以看出,该方法有效,具有较高的工程价值。The command curves of the two engines of the large maneuvering target are shown in Figure 3, the command and thrust chamber pressure curves of the P2 engine are shown in Figure 4, and the Mach number curve is shown in Figure 5. It can be seen from Figure 3 that at 28.14s the aircraft met the engine start-up conditions, the P1 engine was turned on, and then when the speed dropped to the lower limit, the P2 engine was turned on, and then the P2 engine was turned off when the speed increased to the upper limit. It can be seen from Figure 4 that during the flight test The response time of the solenoid valve of the P2 engine is 40ms, the room pressure build-up time is 110ms, and the room pressure drop time is 80ms, which is in good agreement with the prediction. It can be seen from Figure 5 that the Mach number ranges from 1.1503 to 1.2498Ma, which is in line with the expected value The deviation does not exceed 0.0003Ma, and the precision is high. It can be seen from the results that the method is effective and has high engineering value.

Claims (2)

1.一种超音速大机动靶标基于伪闭环的高精度速度控制方法,其特征在于,包括以下步骤:1. a supersonic large maneuvering target is based on the high-precision speed control method of pseudo-closed loop, it is characterized in that, comprises the following steps: 步骤1:建立靶标模型,预测剖面阻力;Step 1: Establish target model and predict section resistance; 步骤2:设计推力组合策略;Step 2: Design thrust combination strategy; 大机动靶标CD包含2台液体火箭发动机,定义小推力发动机为P1,大推力发动机为P2,P1包含3档推力,分别为600/1000/1200N,P2包含3档推力,分别为2000/2500/2800N;The large maneuvering target C D includes 2 liquid rocket engines, define the small thrust engine as P1, and the large thrust engine as P2, P1 includes 3 levels of thrust, respectively 600/1000/1200N, P2 includes 3 levels of thrust, respectively 2000/2500N /2800N; 步骤3:设计速度伪闭环控制策略;Step 3: Design a speed pseudo-closed-loop control strategy; 根据当前任务剖面对于速度控制精度σMa的要求,设置巡航速度控制上下门限MaPoff、MaPon,其中MaPoff=MacMa,MaPon=MacMaAccording to the requirements of the current mission profile for the speed control accuracy σ Ma , set the upper and lower thresholds Ma Poff and Ma Pon of the cruise speed control, where Ma Poff =Ma cMa , Ma Pon =Ma cMa ; 步骤4:建立推力开/关机模型,修正速度伪闭环控制策略门限;Step 4: Establish a thrust on/off model, and revise the speed pseudo-closed-loop control strategy threshold; 在步骤1中,选定任务剖面Hc,Mac之后,首先计算出该剖面的平衡攻角αbIn step 1, after selecting the mission profile H c , Mac c , first calculate the equilibrium angle of attack α b of the profile,
Figure FDA0004042814060000011
Figure FDA0004042814060000011
上式中,q为靶标动压,
Figure FDA0004042814060000012
ρ(Hc)为大气密度,是高度的函数,Hc为靶标巡航高度;VW为靶标的对风速度,VW=MaWVv(Hc),MaW为靶标的对风马赫数,
Figure FDA0004042814060000013
Mac为靶标巡航时相对地的马赫数,Mawind为靶标巡航高度Hc下的风场马赫数,Vv(Hc)为靶标巡航剖面的音速;g=9.8,s为靶标的参考面积,/>
Figure FDA0004042814060000014
为升力对攻角的偏导,α为靶标的攻角;
In the above formula, q is the target dynamic pressure,
Figure FDA0004042814060000012
ρ(H c ) is the atmospheric density, which is a function of height, H c is the cruise height of the target; V W is the wind speed of the target, V W = Ma W V v (H c ), Ma W is the wind Mach of the target number,
Figure FDA0004042814060000013
Ma c is the Mach number relative to the ground when the target is cruising, Ma wind is the Mach number of the wind field at the target cruising height H c , V v (H c ) is the sound velocity of the target cruising profile; g=9.8, s is the reference area of the target , />
Figure FDA0004042814060000014
is the deflector of the lift to the angle of attack, and α is the angle of attack of the target;
取β=0,预测任务剖面巡航时的阻力Dyc的表达式为:Taking β=0, the expression of the resistance D yc during the cruise of the predicted mission profile is: Dyc=qsCD(MaWb,β)(2)D yc =qsC D (Ma Wb ,β)(2) 式中,q为靶标动压,s为靶标的参考面积,CD为靶标的气动阻力系数,MaW为靶标的对风马赫数,αb为靶标的平衡攻角,β为靶标的侧滑角,此处令β=0;In the formula, q is the dynamic pressure of the target, s is the reference area of the target, CD is the aerodynamic drag coefficient of the target, Ma W is the Mach number of the target against the wind, α b is the equilibrium angle of attack of the target, and β is the sideslip of the target angle, where β=0; 在步骤2中,设计大机动靶标仅做巡航任务时的推力组合策略为以下3种:In step 2, the thrust combination strategies for designing large maneuvering targets only for cruising tasks are as follows: 策略1:巡航开1台P1Strategy 1: Cruise with 1 P1 若预测巡航阻力Dyc<1200N,则巡航仅开1台P1发动机,所选P1发动机的推力档位满足T1c>DycIf the predicted cruising resistance D yc <1200N, then only one P1 engine is used for cruising, and the thrust gear of the selected P1 engine satisfies T 1c >D yc ; 策略2:巡航开P1和P2,P1为主巡航发动机Strategy 2: Cruise with P1 and P2, P1 is the main cruise engine 若预测巡航阻力1200N≤Dyc<2000N,则巡航需同时打开P1和P2,P1为主巡航发动机,巡航时持续开机,选择档位T1c=1200N,P2选择档位T2c=2800N;If the predicted cruising resistance is 1200N≤D yc <2000N, P1 and P2 need to be turned on at the same time for cruising, P1 is the main cruising engine, and it will be turned on continuously during cruising, select the gear position T 1c = 1200N, and select the gear position T 2c = 2800N for P2; 策略3:巡航开P1和P2,P2为主巡航发动机Strategy 3: Cruise with P1 and P2, P2 is the main cruise engine 若预测巡航阻力2000N≤Dyc<4000N,则巡航需同时打开P1和P2,P2为主巡航发动机,选择满足T1c+T2c>Dyc的最小档位T1c,T2cIf the predicted cruising resistance is 2000N≤D yc <4000N, P1 and P2 need to be turned on at the same time for cruising, P2 is the main cruising engine, and the minimum gear T 1c , T 2c that satisfies T 1c +T 2c >D yc is selected; 在步骤3中,由于大机动靶标的发动机P1及P2的推力大小是不可连续调节的,因此根据步骤2的推力组合策略设计靶标的速度伪闭环控制策略为:In step 3, since the thrust of the engines P1 and P2 of the large maneuvering target cannot be continuously adjusted, the pseudo-closed-loop control strategy of the speed of the target is designed according to the thrust combination strategy of step 2 as follows: 策略1:推力组合策略1Strategy 1: Thrust Combination Strategy 1 靶标进入剖面后满足发动机开机条件时,打开P1发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P1发动机;P1发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P1发动机;依次类推直至巡航任务结束;When the target enters the profile and meets the engine start-up conditions, turn on the P1 engine and judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P1 engine; after the P1 engine is turned off, the target speed gradually decreases. , turn on the P1 engine; and so on until the end of the cruise mission; 策略2:推力组合策略2Strategy 2: Thrust Combination Strategy 2 靶标进入剖面后满足发动机开机条件时,打开P1、P2发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P2发动机,P1发动机仍保持开机状态;P2发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P2发动机;依次类推直至巡航任务结束;When the target enters the profile and meets the engine start-up conditions, turn on the P1 and P2 engines to judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P2 engine, and the P1 engine remains on; Small, when it is less than the lower threshold Ma Pon , turn on the P2 engine; and so on until the end of the cruise task; 策略3:推力组合策略3Strategy 3: Thrust Combination Strategy 3 靶标进入剖面后满足发动机开机条件时,打开P1、P2发动机,判断靶标当前巡航速度,当其大于上门限MaPoff时,关闭P1发动机,P2发动机仍保持开机状态;P1发动机关机后靶标速度逐渐减小,当小于下门限MaPon时,打开P1发动机;依次类推直至巡航任务结束;When the target enters the profile and meets the engine start-up conditions, turn on the P1 and P2 engines to judge the current cruising speed of the target. When it is greater than the upper threshold Ma Poff , turn off the P1 engine, and the P2 engine remains on; Small, when it is less than the lower threshold Ma Pon , turn on the P1 engine; and so on until the end of the cruise task; 在步骤4中,推力开机模型为:In step 4, the thrust boot model is: 通过动力系统的热试车试验,统计得到靶标2台推力发动机共计6个推力档位的推力开机模型为:Through the thermal test of the power system, the statistics show that the thrust start-up model of the target 2 thrust engines with a total of 6 thrust gears is:
Figure FDA0004042814060000031
Figure FDA0004042814060000031
上式中,TCij为理论推力,τFij为电磁阀的响应时间,表示从接到推力开机的指令到电磁阀打开的时间,τOij为各推力对应的建立时间,这里i表示发动机序号,i=1,2,j表示推力档位序号,j=1,2,3,如T1c1为第1台发动机的第1个推力档位即TC11=600N;In the above formula, T Cij is the theoretical thrust, τ Fij is the response time of the solenoid valve, which means the time from receiving the command to start the thrust to the opening of the solenoid valve, τ Oij is the establishment time corresponding to each thrust, where i represents the serial number of the engine, i=1,2, j represents the serial number of the thrust gear, j=1,2,3, such as T 1c1 is the first thrust gear of the first engine, that is T C11 =600N; 由上式可以看出,在发动机开机后的τFij时间内,电磁阀从关闭到打开,该段时间内推力大小为0;τFijOij时间内,发动机推力从0逐渐增大至理论推力,在此区间内靶标的速度变化趋势是先减小,t时刻当靶标Tij(t)等于当前时刻的阻力Db时,靶标的速度开始逐渐增大;因此,若发动机在下门限MaPon时开机,在推力建立过程中靶标的巡航速度将小于MaPon;为了提高巡航速度的控制精度,对开机门限值进行如下修正:It can be seen from the above formula that within the time τ Fij after the engine is turned on, the solenoid valve is closed to open, and the thrust is 0 during this period; within the time τ FijOij , the engine thrust gradually increases from 0 to the theoretical Thrust, the speed change trend of the target in this interval is to decrease first, when the target T ij (t) is equal to the resistance D b at the current moment at time t, the speed of the target begins to increase gradually; therefore, if the engine is at the lower threshold Ma Pon When the power is turned on, the cruise speed of the target will be less than Ma Pon during the thrust establishment process; in order to improve the control accuracy of the cruise speed, the power-on threshold is corrected as follows: Ma′Pon=MaPonMon(4)Ma' Pon =Ma PonMon (4) 上式中δMon为速度控制上限的修正量,计算方法如下:In the above formula, δ Mon is the correction value of the upper limit of speed control, and the calculation method is as follows:
Figure FDA0004042814060000041
Figure FDA0004042814060000041
上式中,tm时刻的推力Tij(tm)=Dyc,τFij<tm<τFijOijIn the above formula, the thrust at time t m T ij (t m ) = D yc , τ Fij <t mFijOij ; 在步骤4中,推力关机模型为:In step 4, the thrust shutdown model is: 通过动力系统的热试车试验,统计得到靶标2台推力发动机共计6个推力档位的推力关机模型为:Through the thermal test of the power system, the statistics show that the thrust shutdown model of the target 2 thrust engines with a total of 6 thrust gears is:
Figure FDA0004042814060000042
Figure FDA0004042814060000042
上式中,TCij为理论推力,τFij为电磁阀的关闭响应时间,与电磁阀打开响应时间一致,τCij为各推力从100%下降至0时间,这里i表示发动机序号,j表示推力档位序号,如TCij为第1台发动机的第1个推力档位即T1c1=600N;In the above formula, T Cij is the theoretical thrust, τ Fij is the closing response time of the solenoid valve, which is consistent with the opening response time of the solenoid valve, τ Cij is the time for each thrust to drop from 100% to 0, where i represents the engine serial number, and j represents the thrust Gear number, for example, T Cij is the first thrust gear of the first engine, that is, T 1c1 = 600N; 由上式可以看出,在发动机开机后的τFij时间内,电磁阀从打开到关闭,该段时间内推力大小为理论推力Ticj;τFijCij时间内,发动机推力从理论推力逐渐减小至0,在此区间内靶标的速度变化趋势是先增大,t时刻当靶标TGij(t)等于当前时刻的阻力Db时,靶标的速度开始逐渐减小;因此,若发动机在上门限MaPoff时关机,在推力关闭过程中靶标的巡航速度将大于MaPoff;为了提高巡航速度的控制精度,对关机门限值进行如下修正:It can be seen from the above formula that within the time τ Fij after the engine is turned on, the solenoid valve is opened to close, and the thrust during this period is the theoretical thrust T icj ; within the time τ FijCij , the engine thrust gradually changes from the theoretical thrust Decrease to 0, in this interval, the speed change trend of the target is to increase first, when the target T Gij (t) is equal to the resistance D b at the current moment at time t, the speed of the target begins to decrease gradually; therefore, if the engine is at When the upper threshold Ma Poff is turned off, the cruise speed of the target will be greater than Ma Poff during the thrust shutdown process; in order to improve the control accuracy of the cruise speed, the shutdown threshold value is corrected as follows: Ma′Poff=MaPoffMoff(7)Ma′ Poff = Ma PoffMoff (7) 上式中δMoff为速度控制下限的修正量,计算方法如下:In the above formula, δ Moff is the correction value of the lower limit of speed control, and the calculation method is as follows:
Figure FDA0004042814060000051
Figure FDA0004042814060000051
上式中,tn时刻的推力TGij(tn)=Dyc,τFij<tn<τFijCijIn the above formula, the thrust T Gij (t n ) at time t n = D yc , τ Fij <t nFijCij .
2.根据权利要求1所述的一种超音速大机动靶标基于伪闭环的高精度速度控制方法,其特征在于:参数选取为:Hc=9000,Mac=1.2,σMa=0.05,建模得到靶标的预测阻力Dyc=2200N;因此选择策略(2),档位选择1200N+2800N的推力组合,因此相关参数选取为:2. a kind of supersonic large maneuvering target according to claim 1 is based on the high-precision speed control method of pseudo-closed loop, it is characterized in that: parameter selection is: H c =9000, Mac = 1.2, σ Ma =0.05, recommended The predicted resistance D yc of the target is obtained by the model = 2200N; therefore, the strategy (2) is selected, and the thrust combination of 1200N+2800N is selected for the gear position, so the relevant parameters are selected as: τF23=0.04s,τO23=120ms,τC23=100ms,TC23=2800N,由此计算出Ma′Pon=1.153,Ma′Poff=1.248。τ F23 = 0.04s, τ O23 = 120ms, τ C23 = 100ms, T C23 = 2800N, from which Ma' Pon = 1.153, Ma' Poff = 1.248.
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